Relativity

  • Charles Keeton
Chapter
Part of the Undergraduate Lecture Notes in Physics book series (ULNP)

Abstract

With his special and general theories of relativity, Einstein revolutionized our concepts of space, time, gravity, and hence motion. Why, then, have we spent so much time with Newton? Newtonian physics is a good approximation when motion is slow compared with the speed of light and gravity is “weak” in a sense to be defined. A lot of astrophysics research is still carried out under these assumptions. That said, discussing our modern understanding of gravity and motion opens fascinating topics such as the weirdness of spacetime around black holes and (in Chap. 11) the expanding universe.

Keywords

Mercury Manifold Rubber Fermat 

References

  1. 1.
    B.W. Carroll, D.A. Ostlie, An Introduction to Modern Astrophysics, 2nd edn. (Addison-Wesley, San Francisco, 2007)Google Scholar
  2. 2.
    B.F. Schutz, A First Course in General Relativity (Cambridge University Press, Cambridge, 1985)Google Scholar
  3. 3.
    P. Galison, Einstein’s Clocks, Poincaré’s Maps: Empires of Time (W.W. Norton, New York, 2003)Google Scholar
  4. 4.
    A. Einstein, Einstein’s 1912 Manuscript on the Special Theory of Relativity: A Facsimile (George Braziller, New York, 1996)Google Scholar
  5. 5.
    D.H. Frisch, J.H. Smith, Am. J. Phys. 31, 342 (1963)ADSCrossRefGoogle Scholar
  6. 6.
    J.C. Hafele, R.E. Keating, Science 177, 166 (1972)ADSCrossRefGoogle Scholar
  7. 7.
    J.C. Hafele, R.E. Keating, Science 177, 168 (1972)ADSCrossRefGoogle Scholar
  8. 8.
    C. Misner, K. Thorne, J. Wheeler, Gravitation (W.H. Freeman, San Francisco, 1973)Google Scholar
  9. 9.
    A. Pais, Subtle Is the Lord: The Science and the Life of Albert Einstein (Oxford University Press, Oxford/New York, 1982)Google Scholar
  10. 10.
    S. Schlamminger, K.Y. Choi, T.A. Wagner, J.H. Gundlach, E.G. Adelberger, Phys. Rev. Lett. 100(4), 041101 (2008)ADSCrossRefGoogle Scholar
  11. 11.
    R. Baum, W. Sheehan, In Search of Planet Vulcan: The Ghost in Newton’s Clockwork Universe (Basic Books, New York, 2003)Google Scholar
  12. 12.
  13. 13.
    R.V. Pound, G.A. Rebka, Phys. Rev. Lett. 3, 439 (1959)ADSCrossRefGoogle Scholar
  14. 14.
    R.V. Pound, G.A. Rebka, Phys. Rev. Lett. 4, 337 (1960)ADSCrossRefGoogle Scholar
  15. 15.
    J.L. Greenstein, J.B. Oke, H.L. Shipman, Astrophys. J. 169, 563 (1971)ADSCrossRefGoogle Scholar
  16. 16.
    N.S. Hetherington, Q. J. R. Astron. Soc. 21, 246 (1980)Google Scholar
  17. 17.
    N. Ashby, Living Rev. Relativ. 6, 1 (2003)ADSCrossRefGoogle Scholar
  18. 18.
    K.S. Thorne, Black Holes & Time Warps: Einstein’s Outrageous Legacy (W.W. Norton, New York, 1994)MATHGoogle Scholar
  19. 19.
    C.R. Keeton, A.O. Petters, Phys. Rev. D 72(10), 104006 (2005)ADSCrossRefMathSciNetGoogle Scholar
  20. 20.
    R.P. Kerr, Phys. Rev. Lett. 11, 237 (1963)ADSCrossRefMATHMathSciNetGoogle Scholar
  21. 21.
    J.M. Miller, Annu. Rev. Astron. Astrophys. 45, 441 (2007)ADSCrossRefGoogle Scholar
  22. 22.
    R.A. Hulse, J.H. Taylor, Astrophys. J. Lett. 195, L51 (1975)ADSCrossRefGoogle Scholar
  23. 23.
    M. Burgay et al., Nature 426, 531 (2003)ADSCrossRefGoogle Scholar
  24. 24.
    J.M. Weisberg, D.J. Nice, J.H. Taylor, Astrophys. J. 722, 1030 (2010)ADSCrossRefGoogle Scholar
  25. 25.
    M. Kramer, et al., Science 314, 97 (2006)ADSCrossRefGoogle Scholar
  26. 26.
    S.L. Shapiro, S.A. Teukolsky, Black Holes, White Dwarfs and Neutron Stars: The Physics of Compact Objects (Wiley, New York, 1986)Google Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Charles Keeton
    • 1
  1. 1.Department of Physics and AstronomyRutgers UniversityPiscatawayUSA

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